A maker of bird seed will use three ingredients, labeled A, B, and C, to form boxes of exactly 100 grams of seed. It has been determined that the profit per gram of \(\mathrm{A}\) is 5 , and the profits per gram of \(\mathrm{B}\) and \(\mathrm{C}\) are 4 each. It is desired to achieve a threshhold value of at least 260 units of protein in the mixture, while limiting the fat content to no more than 80 units. Suppose that each gram of ingredient A has 2 units of protein and 1 unit of fat, each gram of B has 3 units of protein but no fat, and each gram of \(\mathrm{C}\) has 4 units of protein and 1 unit of fat. Formulate the problem as a non-standard linear programming problem, and solve it by:

(a) the Phase 1-Phase 2 approach, and

(b) the Big M method (see Exercise 11).